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114231155422032 = 243211101714016123
BaseRepresentation
bin11001111110010010000011…
…011100001111001101010000
3112222110101120121221120222100
4121332102003130033031100
5104433030401242001112
61042541022432440400
733026633343301125
oct3176220334171520
9488411517846870
10114231155422032
1133441185265730
121098a91a9a9100
134b97c4ac6810c
14202cb6301474c
15d31633ded2dc
hex67e48370f350

114231155422032 has 120 divisors (see below), whose sum is σ = 352204161517728. Its totient is φ = 34272773856000.

The previous prime is 114231155421997. The next prime is 114231155422037. The reversal of 114231155422032 is 230224551132411.

114231155422032 is a `hidden beast` number, since 1 + 1 + 42 + 3 + 11 + 554 + 2 + 20 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114231155422037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 356848078 + ... + 357168045.

Almost surely, 2114231155422032 is an apocalyptic number.

114231155422032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114231155422032 is an abundant number, since it is smaller than the sum of its proper divisors (237973006095696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114231155422032 is a wasteful number, since it uses less digits than its factorization.

114231155422032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714016249 (or 714016240 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 114231155422032 in words is "one hundred fourteen trillion, two hundred thirty-one billion, one hundred fifty-five million, four hundred twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 101 132 144 176 198 202 264 303 396 404 528 606 792 808 909 1111 1212 1584 1616 1818 2222 2424 3333 3636 4444 4848 6666 7272 8888 9999 13332 14544 17776 19998 26664 39996 53328 79992 159984 714016123 1428032246 2142048369 2856064492 4284096738 5712128984 6426145107 7854177353 8568193476 11424257968 12852290214 15708354706 17136386952 23562532059 25704580428 31416709412 34272773904 47125064118 51409160856 62833418824 70687596177 72115628423 94250128236 102818321712 125666837648 141375192354 144231256846 188500256472 216346885269 282750384708 288462513692 377000512944 432693770538 565500769416 576925027384 649040655807 793271912653 865387541076 1131001538832 1153850054768 1298081311614 1586543825306 1730775082152 2379815737959 2596162623228 3173087650612 3461550164304 4759631475918 5192325246456 6346175301224 7139447213877 9519262951836 10384650492912 12692350602448 14278894427754 19038525903672 28557788855508 38077051807344 57115577711016 114231155422032